What is the Greatest Common Factor of 66248 and 66262?

Greatest common factor (GCF) of 66248 and 66262 is 14.

GCF(66248,66262) = 14

We will now calculate the prime factors of 66248 and 66262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66248 and 66262.

How to find the GCF of 66248 and 66262?

We will first find the prime factorization of 66248 and 66262. After we will calculate the factors of 66248 and 66262 and find the biggest common factor number .

Step-1: Prime Factorization of 66248

Prime factors of 66248 are 2, 7, 13. Prime factorization of 66248 in exponential form is:

66248 = 2³ × 7² × 13²

Step-2: Prime Factorization of 66262

Prime factors of 66262 are 2, 7, 4733. Prime factorization of 66262 in exponential form is:

66262 = 2¹ × 7¹ × 4733¹

Step-3: Factors of 66248

List of positive integer factors of 66248 that divides 66248 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 169, 182, 196, 338, 364, 392, 637, 676, 728, 1183, 1274, 1352, 2366, 2548, 4732, 5096, 8281, 9464, 16562, 33124

Step-4: Factors of 66262

List of positive integer factors of 66262 that divides 66248 without a remainder.

1, 2, 7, 14, 4733, 9466, 33131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66248 and 66262. The biggest common factor number is the GCF number.
So the greatest common factor 66248 and 66262 is 14.

Also check out the Least Common Multiple of 66248 and 66262